On July 28, 2015, Sutter was traded by the Penguins along with a 2016 NHL Entry Draft 3rd-round pick to the Vancouver Canucks in exchange for Nick Bonino, Adam Clendening, and a 2nd-round pick in 2016. On August 4, 2015, the Canucks announced they had signed Sutter to a 5-year, $21.875 million deal. Sutter played 16 games in the 2015–16 season before it was revealed that he required Sports hernia surgery. He missed 33 games before returning to the Canucks lineup on January 26, 2016. However on February 9, his fourth game back since the surgery, he suffered a broken jaw in a game against the Colorado Avalanche; sidelining him for the remainder of the season. Sutter managed 5 goals and 4 assists (9 points) in 20 games for the Canucks in an injury-plagued 2015-16 season.